1396512768 has 192 divisors, whose sum is σ = 4481568000. Its totient is φ = 377782272.

The previous prime is 1396512743. The next prime is 1396512791. The reversal of 1396512768 is 8672156931.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1396512768² = 3900495822374043648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 816298 + ... + 818006.

It is an arithmetic number, because the mean of its divisors is an integer number (23341500).

Almost surely, 2^1396512768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1396512768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2240784000).

1396512768 is an abundant number, since it is smaller than the sum of its proper divisors (3085055232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1396512768 is a wasteful number, since it uses less digits than its factorization.

1396512768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1760 (or 1740 counting only the distinct ones).

The product of its digits is 544320, while the sum is 48.

The square root of 1396512768 is about 37369.9447149711. The cubic root of 1396512768 is about 1117.7593298321.

The spelling of 1396512768 in words is "one billion, three hundred ninety-six million, five hundred twelve thousand, seven hundred sixty-eight".